Finding the Third Proportional to 925,190,620,824 and 2,029,106,444,280
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Solution
The third proportional to 925,190,620,824 and 2,029,106,444,280 is: 4,450,188,825,467.85
Step by Step Solution
- Step 1: Write the proportion equation
925,190,620,824 : 2,029,106,444,280 = 2,029,106,444,280 : x - Step 2: Convert to fraction form
925,190,620,824/2,029,106,444,280 = 2,029,106,444,280/x - Step 3: Cross multiply
925,190,620,824x = 2,029,106,444,280 × 2,029,106,444,280 - Step 4: Simplify right side
925,190,620,824x = 4,117,272,962,218,624,852,951,040 - Step 5: Solve for x
x = 4,117,272,962,218,624,852,951,040/925,190,620,824 - Step 6: Final answer
x = 4,450,188,825,467.85
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.